Pith Number

pith:RUJ6MGB4

pith:2026:RUJ6MGB4AQSGUDBL37YRXCHJPI

not attested not anchored not stored refs pending

Sheared Witt Vectors

Akhil Mathew, Bhargav Bhatt, Vadim Vologodsky

arxiv:2607.01178 v1 · 2026-07-01 · math.AG · math.KT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUJ6MGB4AQSGUDBL37YRXCHJPI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-02T01:18:31.838682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d13e6183c04246a0c2bdff11b88e97a3fa076c72f88661188cef259a1a82475

Aliases

arxiv: 2607.01178 · arxiv_version: 2607.01178v1 · doi: 10.48550/arxiv.2607.01178 · pith_short_12: RUJ6MGB4AQSG · pith_short_16: RUJ6MGB4AQSGUDBL · pith_short_8: RUJ6MGB4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RUJ6MGB4AQSGUDBL37YRXCHJPI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8d13e6183c04246a0c2bdff11b88e97a3fa076c72f88661188cef259a1a82475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837993fbcde32f26f406bfdbc22759656c1cc268144a4eb51416345b6bbf5213",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-01T17:09:33Z",
    "title_canon_sha256": "a13f7120c790a106c2fd47a79cf0e822310ccb47f76e6c7ff9f8937ee2fdfebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01178",
    "kind": "arxiv",
    "version": 1
  }
}